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Finding the Fourth Proportional to 212.81, 293.36 and 142.74

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Solution

The fourth proportional to 212.81, 293.36 and 142.74 is: 196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.81 : 293.36 = 142.74 : x
  2. Step 2: Convert to fraction form
    212.81/293.36 = 142.74/x
  3. Step 3: Cross multiply
    212.81x = 293.36 × 142.74
  4. Step 4: Simplify right side
    212.81x = 41,873.49
  5. Step 5: Solve for x
    x = 41,873.49/212.81
  6. Step 6: Final answer
    x = 196.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.